40132063587168 has 288 divisors, whose sum is σ = 133261981332480. Its totient is φ = 11217480099840.

The previous prime is 40132063587101. The next prime is 40132063587173. The reversal of 40132063587168 is 86178536023104.

40132063587168 is a `hidden beast` number, since 4 + 0 + 13 + 206 + 358 + 71 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40132063587168² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221534388 + ... + 221715468.

It is an arithmetic number, because the mean of its divisors is an integer number (462715212960).

Almost surely, 2^{40132063587168} is an apocalyptic number.

40132063587168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40132063587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66630990666240).

40132063587168 is an abundant number, since it is smaller than the sum of its proper divisors (93129917745312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40132063587168 is a wasteful number, since it uses less digits than its factorization.

40132063587168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183490 (or 183479 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40132063587168 in words is "forty trillion, one hundred thirty-two billion, sixty-three million, five hundred eighty-seven thousand, one hundred sixty-eight".